[统计数据] 电流密度泛函的非平衡态热力学 [推广有奖]

摘要翻译：
我们研究了一个保持在非平衡稳态的随机多体系统。时间积分电流和密度的概率分布泛函在长时间渐近中具有大偏差形式。对不可逆Langevin动力学和离散空间Markov链显式导出了相应的电流密度Cramer泛函(CDCF)。我们还证明了其他密度和电流的线性泛函的Cramer泛函，如力产生的功，以一种使人联想到不同热力学势之间的变分关系的方式与CDCF有关。用一个模型例子说明了一般的形式主义。
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英文标题：
《Non-equilibrium thermodynamics for functionals of current and density》
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作者：
Vladimir Y. Chernyak, Michael Chertkov, Sergey V. Malinin, Razvan
  Teodorescu
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最新提交年份：
2007
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分类信息：

一级分类：Physics        物理学
二级分类：Statistical Mechanics        统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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一级分类：Physics        物理学
二级分类：Soft Condensed Matter        软凝聚态物质
分类描述：Membranes, polymers, liquid crystals, glasses, colloids, granular matter
膜，聚合物，液晶，玻璃，胶体，颗粒物质
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英文摘要：
  We study a stochastic many-body system maintained in an non-equilibrium steady state. Probability distribution functional of the time-integrated current and density is shown to attain a large-deviation form in the long-time asymptotics. The corresponding Current-Density Cramer Functional (CDCF) is explicitly derived for irreversible Langevin dynamics and discrete-space Markov chains. We also show that the Cramer functionals of other linear functionals of density and current, like work generated by a force, are related to CDCF in a way reminiscent of variational relations between different thermodynamic potentials. The general formalism is illustrated with a model example.
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PDF链接：
https://arxiv.org/pdf/712.3542